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The number of men and women among professors in Math, Physics, Chemistry, Linguistics, and English departments...

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Basic Math

The number of men and women among professors in Math, Physics,Chemistry, Linguistics, and English departments from a SRS of smallcolleges were counted, and the results are shown in the tablebelow.

Dept. Math Physics Chemistry Linguistics English

Men 16 . 36 12 10 14

Women 2 . 5 . 4 . 2 . 8

Test the claim that the gender of a professor is independent ofthe department. Use the significance level α=0.025

(a) The test statistic is χ2=

(b) The critical value is χ2=

(c) Is there sufficient evidence to warrant the rejection of theclaim that the gender of a professor is independent of thedepartment? A. No B. Yes

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